Andrey Bytsenko

Dirac Bundles Over Hyperbolic Spaces and Index Formulae in (Twisted)K-Theory

We derived the Chern-Simons and eta invariants of irreducible U(n)-flat connections on hyperbolic fibered 3-manifolds. The Dirac index pairing in (twisted)K-theory and high signatures in the case of hyperbolic groups has been constructed.